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katiebugg

  • 2 years ago

help!?!?!?!

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  1. katiebugg
    • 2 years ago
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    \[\log _{3}27\]

  2. cwrw238
    • 2 years ago
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    this means 3 ^x = 27 x = value of the log

  3. katiebugg
    • 2 years ago
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    ?

  4. katiebugg
    • 2 years ago
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    x=3?

  5. cwrw238
    • 2 years ago
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    3 ^ 3 = 27 right?

  6. cwrw238
    • 2 years ago
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    yes

  7. katiebugg
    • 2 years ago
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    ok :)

  8. cwrw238
    • 2 years ago
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    the definition of a log is the exponent whci takes the base to the given number

  9. katiebugg
    • 2 years ago
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    wait then whats \[\log _{2} 32\]

  10. cwrw238
    • 2 years ago
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    eg 10^2 = 100 so log (10) of 100 = 2

  11. cwrw238
    • 2 years ago
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    what power must 2 be taken to in order to get 32s

  12. cwrw238
    • 2 years ago
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    * 32?

  13. katiebugg
    • 2 years ago
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    umm 5?

  14. cwrw238
    • 2 years ago
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    right

  15. cwrw238
    • 2 years ago
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    are you getting the idea?

  16. katiebugg
    • 2 years ago
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    kinnda lol i think what would \[\log _{3} 18 \] bee cuz i cant get it

  17. cwrw238
    • 2 years ago
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    here 2 ^x = 18 where x = required log now this cant solved by inspection as the other 2 could so you preceed as follows: ln 2^x = ln 18 where ln is natural log or log to base e by laws of logs x ln 2 = ln 18 x = ln 18 / ln 2 which you can do with your calculator

  18. katiebugg
    • 2 years ago
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    its 3 tho

  19. cwrw238
    • 2 years ago
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    oh - r us sure its log2 18 not log2 8?

  20. cwrw238
    • 2 years ago
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    because 2^3 = 8

  21. katiebugg
    • 2 years ago
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    nope log3 18

  22. cwrw238
    • 2 years ago
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    log to base 3 of 18

  23. katiebugg
    • 2 years ago
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    k

  24. cwrw238
    • 2 years ago
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    gotta go katie

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